%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE145-10 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:28:23 AM UTC 2026 % Result : Unsatisfiable 33.94s 34.99s % Output : Proof 33.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE145-10 : TPTP v9.2.1. Released v7.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:19:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.72/15.95 --- Run --no-e-matching --full-saturate-quant at 6... % 21.71/21.99 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.73/28.02 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.84/34.11 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.94/34.99 % SZS status Unsatisfiable % 33.94/34.99 % SZS output start Proof % 33.94/35.00 ( % 33.94/35.00 (declare-sort $$unsorted 0) % 33.94/35.00 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 33.94/35.00 (declare-const tptp.true $$unsorted) % 33.94/35.00 (declare-const tptp.sK1_goals_X0 $$unsorted) % 33.94/35.00 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 33.94/35.00 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 33.94/35.00 (declare-const tptp.zero $$unsorted) % 33.94/35.00 (declare-const tptp.one $$unsorted) % 33.94/35.00 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 33.94/35.00 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.94/35.00 (declare-const tptp.leq (-> $$unsorted $$unsorted $$unsorted)) % 33.94/35.00 (declare-const tptp.ifeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.94/35.00 (declare-const tptp.ifeq3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.94/35.00 (define @t1 () (@var "B" $$unsorted)) % 33.94/35.00 (define @t2 () (@var "C" $$unsorted)) % 33.94/35.00 (define @t3 () (@var "A" $$unsorted)) % 33.94/35.00 (define @t4 () (tptp.ifeq3 @t3 @t3 @t1 @t2)) % 33.94/35.00 (define @t5 () (@list @t3 @t1 @t2)) % 33.94/35.00 (define @t6 () (forall @t5 (= @t4 @t1))) % 33.94/35.00 (define @t7 () (tptp.ifeq2 @t3 @t3 @t1 @t2)) % 33.94/35.00 (define @t8 () (forall @t5 (= @t7 @t1))) % 33.94/35.00 (define @t9 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 33.94/35.00 (define @t10 () (forall @t5 (= @t9 @t1))) % 33.94/35.00 (define @t11 () (tptp.addition @t3 @t1)) % 33.94/35.00 (define @t12 () (@list @t3 @t1)) % 33.94/35.00 (define @t13 () (tptp.addition @t1 @t2)) % 33.94/35.00 (define @t14 () (tptp.addition @t3 tptp.zero)) % 33.94/35.00 (define @t15 () (@list @t3)) % 33.94/35.00 (define @t16 () (forall @t15 (= @t14 @t3))) % 33.94/35.00 (define @t17 () (tptp.addition @t3 @t3)) % 33.94/35.00 (define @t18 () (forall @t15 (= @t17 @t3))) % 33.94/35.00 (define @t19 () (tptp.multiplication @t3 @t1)) % 33.94/35.00 (define @t20 () (tptp.multiplication @t1 @t2)) % 33.94/35.00 (define @t21 () (forall @t5 (= (tptp.multiplication @t3 @t20) (tptp.multiplication @t19 @t2)))) % 33.94/35.00 (define @t22 () (tptp.multiplication @t3 tptp.one)) % 33.94/35.00 (define @t23 () (forall @t15 (= @t22 @t3))) % 33.94/35.00 (define @t24 () (tptp.multiplication tptp.one @t3)) % 33.94/35.00 (define @t25 () (forall @t15 (= @t24 @t3))) % 33.94/35.00 (define @t26 () (tptp.multiplication @t3 @t2)) % 33.94/35.00 (define @t27 () (tptp.multiplication tptp.zero @t3)) % 33.94/35.00 (define @t28 () (forall @t15 (= @t27 tptp.zero))) % 33.94/35.00 (define @t29 () (tptp.star @t3)) % 33.94/35.00 (define @t30 () (tptp.addition tptp.one (tptp.multiplication @t3 @t29))) % 33.94/35.00 (define @t31 () (forall @t15 (= @t30 @t29))) % 33.94/35.00 (define @t32 () (tptp.addition tptp.one (tptp.multiplication @t29 @t3))) % 33.94/35.00 (define @t33 () (forall @t15 (= @t32 @t29))) % 33.94/35.00 (define @t34 () (tptp.addition @t26 @t1)) % 33.94/35.00 (define @t35 () (tptp.ifeq (tptp.leq @t34 @t2) tptp.true (tptp.leq (tptp.multiplication @t29 @t1) @t2) tptp.true)) % 33.94/35.00 (define @t36 () (forall (@list @t3 @t2 @t1) (= @t35 tptp.true))) % 33.94/35.00 (define @t37 () (@list @t2 @t3 @t1)) % 33.94/35.00 (define @t38 () (tptp.strong_iteration @t3)) % 33.94/35.00 (define @t39 () (tptp.leq @t3 @t1)) % 33.94/35.00 (define @t40 () (tptp.ifeq2 @t39 tptp.true @t11 @t1)) % 33.94/35.00 (define @t41 () (forall @t12 (= @t40 @t1))) % 33.94/35.00 (define @t42 () (tptp.ifeq3 @t11 @t1 @t39 tptp.true)) % 33.94/35.00 (define @t43 () (forall @t12 (= @t42 tptp.true))) % 33.94/35.00 (define @t44 () (tptp.strong_iteration tptp.sK1_goals_X0)) % 33.94/35.00 (define @t45 () (tptp.star @t44)) % 33.94/35.00 (define @t46 () (tptp.multiplication @t44 @t45)) % 33.94/35.00 (define @t47 () (tptp.addition @t46 @t44)) % 33.94/35.00 (define @t48 () (tptp.leq @t46 @t44)) % 33.94/35.00 (define @t49 () (tptp.ifeq2 @t48 @t48 @t47 @t44)) % 33.94/35.00 (define @t50 () (= @t47 @t49)) % 33.94/35.00 (define @t51 () (= @t49 @t47)) % 33.94/35.00 (define @t52 () (@list @t44)) % 33.94/35.00 (define @t53 () (tptp.multiplication @t45 @t44)) % 33.94/35.00 (define @t54 () (tptp.multiplication @t53 @t44)) % 33.94/35.00 (define @t55 () (tptp.multiplication tptp.one @t44)) % 33.94/35.00 (define @t56 () (tptp.addition @t54 tptp.one)) % 33.94/35.00 (define @t57 () (@list tptp.sK1_goals_X0)) % 33.94/35.00 (define @t58 () (tptp.multiplication tptp.sK1_goals_X0 @t44)) % 33.94/35.00 (define @t59 () (tptp.addition @t58 tptp.one)) % 33.94/35.00 (define @t60 () (tptp.addition @t59 @t44)) % 33.94/35.00 (define @t61 () (tptp.multiplication @t44 tptp.zero)) % 33.94/35.00 (define @t62 () (tptp.star tptp.sK1_goals_X0)) % 33.94/35.00 (define @t63 () (tptp.multiplication @t62 tptp.one)) % 33.94/35.00 (define @t64 () (tptp.addition @t63 @t61)) % 33.94/35.00 (define @t65 () (tptp.addition @t61 @t62)) % 33.94/35.00 (define @t66 () (@list tptp.zero)) % 33.94/35.00 (define @t67 () (tptp.multiplication tptp.zero tptp.zero)) % 33.94/35.00 (define @t68 () (tptp.multiplication @t44 @t67)) % 33.94/35.00 (define @t69 () (tptp.multiplication @t61 tptp.zero)) % 33.94/35.00 (define @t70 () (= @t68 @t69)) % 33.94/35.00 (define @t71 () (@list false)) % 33.94/35.00 (define @t72 () (@list @t21)) % 33.94/35.00 (define @t73 () (@list @t45)) % 33.94/35.00 (define @t74 () (tptp.multiplication @t44 (tptp.multiplication tptp.zero @t45))) % 33.94/35.00 (define @t75 () (tptp.multiplication @t61 @t45)) % 33.94/35.00 (define @t76 () (= @t74 @t75)) % 33.94/35.00 (define @t77 () (@list @t44 tptp.zero @t45)) % 33.94/35.00 (define @t78 () (tptp.addition @t53 tptp.one)) % 33.94/35.00 (define @t79 () (tptp.addition tptp.one @t46)) % 33.94/35.00 (define @t80 () (tptp.multiplication @t44 @t53)) % 33.94/35.00 (define @t81 () (tptp.multiplication @t44 tptp.one)) % 33.94/35.00 (define @t82 () (tptp.multiplication @t61 @t46)) % 33.94/35.00 (define @t83 () (tptp.addition @t82 @t69)) % 33.94/35.00 (define @t84 () (tptp.multiplication @t61 @t53)) % 33.94/35.00 (define @t85 () (tptp.addition @t63 @t44)) % 33.94/35.00 (define @t86 () (tptp.multiplication tptp.sK1_goals_X0 @t63)) % 33.94/35.00 (define @t87 () (tptp.addition @t62 @t61)) % 33.94/35.00 (define @t88 () (tptp.multiplication tptp.sK1_goals_X0 @t62)) % 33.94/35.00 (define @t89 () (tptp.addition tptp.one @t88)) % 33.94/35.00 (define @t90 () (tptp.multiplication tptp.sK1_goals_X0 @t61)) % 33.94/35.00 (define @t91 () (tptp.addition @t88 @t90)) % 33.94/35.00 (define @t92 () (tptp.addition @t88 tptp.one)) % 33.94/35.00 (define @t93 () (tptp.addition @t58 @t63)) % 33.94/35.00 (define @t94 () (tptp.addition @t58 @t44)) % 33.94/35.00 (define @t95 () (tptp.addition @t58 @t55)) % 33.94/35.00 (define @t96 () (tptp.addition tptp.one @t58)) % 33.94/35.00 (define @t97 () (tptp.leq (tptp.multiplication @t45 tptp.one) @t44)) % 33.94/35.00 (define @t98 () (tptp.leq (tptp.multiplication tptp.one @t45) @t44)) % 33.94/35.00 (define @t99 () (tptp.multiplication @t44 @t44)) % 33.94/35.00 (define @t100 () (tptp.leq (tptp.addition @t99 tptp.one) @t44)) % 33.94/35.00 (define @t101 () (tptp.multiplication @t62 tptp.sK1_goals_X0)) % 33.94/35.00 (define @t102 () (tptp.addition @t101 @t61)) % 33.94/35.00 (define @t103 () (tptp.addition tptp.one @t55)) % 33.94/35.00 (define @t104 () (tptp.addition @t99 @t55)) % 33.94/35.00 (define @t105 () (tptp.addition @t46 tptp.zero)) % 33.94/35.00 (define @t106 () (tptp.addition @t80 @t59)) % 33.94/35.00 (define @t107 () (tptp.addition tptp.one @t45)) % 33.94/35.00 (define @t108 () (tptp.addition @t45 tptp.one)) % 33.94/35.00 (define @t109 () (tptp.multiplication @t61 @t108)) % 33.94/35.00 (define @t110 () (tptp.multiplication @t62 @t44)) % 33.94/35.00 (define @t111 () (tptp.addition @t110 @t61)) % 33.94/35.00 (define @t112 () (tptp.leq @t110 @t44)) % 33.94/35.00 (define @t113 () (tptp.leq @t94 @t44)) % 33.94/35.00 (define @t114 () (tptp.leq @t59 @t44)) % 33.94/35.00 (define @t115 () (tptp.multiplication @t45 @t63)) % 33.94/35.00 (define @t116 () (tptp.multiplication @t45 @t62)) % 33.94/35.00 (define @t117 () (tptp.addition @t62 tptp.zero)) % 33.94/35.00 (define @t118 () (tptp.multiplication @t46 tptp.zero)) % 33.94/35.00 (define @t119 () (tptp.addition (tptp.multiplication @t108 @t44) @t45)) % 33.94/35.00 (define @t120 () (tptp.addition @t55 @t80)) % 33.94/35.00 (define @t121 () (forall @t5 (= @t1 @t7))) % 33.94/35.00 (assume @p1 @t6) % 33.94/35.00 (assume @p2 @t8) % 33.94/35.00 (assume @p3 @t10) % 33.94/35.00 (assume @p4 (forall @t12 (= @t11 (tptp.addition @t1 @t3)))) % 33.94/35.00 (assume @p5 (forall @t5 (= (tptp.addition @t3 @t13) (tptp.addition @t11 @t2)))) % 33.94/35.00 (assume @p6 @t16) % 33.94/35.00 (assume @p7 @t18) % 33.94/35.00 (assume @p8 @t21) % 33.94/35.00 (assume @p9 @t23) % 33.94/35.00 (assume @p10 @t25) % 33.94/35.00 (assume @p11 (forall @t5 (= (tptp.multiplication @t3 @t13) (tptp.addition @t19 @t26)))) % 33.94/35.00 (assume @p12 (forall @t5 (= (tptp.multiplication @t11 @t2) (tptp.addition @t26 @t20)))) % 33.94/35.00 (assume @p13 @t28) % 33.94/35.00 (assume @p14 @t31) % 33.94/35.00 (assume @p15 @t33) % 33.94/35.00 (assume @p16 @t36) % 33.94/35.00 (assume @p17 (forall @t37 (= (tptp.ifeq (tptp.leq (tptp.addition (tptp.multiplication @t2 @t3) @t1) @t2) tptp.true (tptp.leq (tptp.multiplication @t1 @t29) @t2) tptp.true) tptp.true))) % 33.94/35.00 (assume @p18 (forall @t15 (= @t38 (tptp.addition (tptp.multiplication @t3 @t38) tptp.one)))) % 33.94/35.00 (assume @p19 (forall @t37 (= (tptp.ifeq (tptp.leq @t2 @t34) tptp.true (tptp.leq @t2 (tptp.multiplication @t38 @t1)) tptp.true) tptp.true))) % 33.94/35.00 (assume @p20 (forall @t15 (= @t38 (tptp.addition @t29 (tptp.multiplication @t38 tptp.zero))))) % 33.94/35.00 (assume @p21 @t41) % 33.94/35.00 (assume @p22 @t43) % 33.94/35.00 (assume @p23 (not (= @t45 @t44))) % 33.94/35.00 (step @p24 :rule eq-symm :args (@t7 @t1)) % 33.94/35.00 (step @p25 :rule cong :premises (@p24) :args (@t8)) % 33.94/35.00 (step @p26 :rule eq_resolve :premises (@p2 @p25)) % 33.94/35.00 (step @p27 :rule bool-eq-false :args (@t50)) % 33.94/35.00 (step @p28 :rule symm :premises (@p27)) % 33.94/35.00 (step @p29 :rule eq-symm :args (@t49 @t47)) % 33.94/35.00 (step @p30 :rule cong :premises (@p29) :args ((not @t51))) % 33.94/35.00 (step @p31 :rule bool-eq-false :args (@t51)) % 33.94/35.00 (step @p32 :rule trans :premises (@p31 @p30)) % 33.94/35.00 (step @p33 :rule trans :premises (@p32 @p28)) % 33.94/35.00 (step @p34 :rule symm :premises (@p23)) % 33.94/35.00 (step @p35 :rule false_intro :premises (@p34)) % 33.94/35.00 (step @p36 :rule eq-symm :args (@t32 @t29)) % 33.94/35.00 (step @p37 :rule cong :premises (@p36) :args (@t33)) % 33.94/35.00 (step @p38 :rule eq_resolve :premises (@p15 @p37)) % 33.94/35.00 (step @p39 :rule instantiate :premises (@p38) :args (@t52)) % 33.94/35.00 (step @p40 :rule symm :premises (@p39)) % 33.94/35.00 (step @p41 :rule instantiate :premises (@p4) :args ((@list tptp.one @t53))) % 33.94/35.00 (step @p42 :rule symm :premises (@p41)) % 33.94/35.00 (step @p43 :rule refl :args (tptp.one)) % 33.94/35.00 (step @p44 :rule refl :args (@t44)) % 33.94/35.00 (step @p45 :rule cong :premises (@p40 @p44) :args ((tptp.multiplication (tptp.addition tptp.one @t53) @t44))) % 33.94/35.00 (step @p46 :rule instantiate :premises (@p12) :args ((@list tptp.one @t53 @t44))) % 33.94/35.00 (step @p47 :rule symm :premises (@p46)) % 33.94/35.00 (step @p48 :rule trans :premises (@p47 @p45)) % 33.94/35.00 (step @p49 :rule cong :premises (@p48 @p43) :args ((tptp.addition (tptp.addition @t55 @t54) tptp.one))) % 33.94/35.00 (step @p50 :rule instantiate :premises (@p5) :args ((@list @t55 @t54 tptp.one))) % 33.94/35.00 (step @p51 :rule refl :args (@t56)) % 33.94/35.00 (step @p52 :rule eq-symm :args (@t24 @t3)) % 33.94/35.00 (step @p53 :rule cong :premises (@p52) :args (@t25)) % 33.94/35.00 (step @p54 :rule eq_resolve :premises (@p10 @p53)) % 33.94/35.00 (step @p55 :rule instantiate :premises (@p54) :args (@t52)) % 33.94/35.00 (step @p56 :rule eq-symm :args (@t22 @t3)) % 33.94/35.00 (step @p57 :rule cong :premises (@p56) :args (@t23)) % 33.94/35.00 (step @p58 :rule eq_resolve :premises (@p9 @p57)) % 33.94/35.00 (step @p59 :rule instantiate :premises (@p58) :args (@t52)) % 33.94/35.00 (step @p60 :rule symm :premises (@p59)) % 33.94/35.00 (step @p61 :rule trans :premises (@p60 @p55)) % 33.94/35.00 (step @p62 :rule instantiate :premises (@p18) :args (@t57)) % 33.94/35.00 (step @p63 :rule symm :premises (@p62)) % 33.94/35.00 (step @p64 :rule eq-symm :args (@t17 @t3)) % 33.94/35.00 (step @p65 :rule cong :premises (@p64) :args (@t18)) % 33.94/35.00 (step @p66 :rule eq_resolve :premises (@p7 @p65)) % 33.94/35.00 (step @p67 :rule instantiate :premises (@p66) :args ((@list @t59))) % 33.94/35.00 (step @p68 :rule symm :premises (@p67)) % 33.94/35.00 (step @p69 :rule refl :args (@t59)) % 33.94/35.00 (step @p70 :rule cong :premises (@p69 @p62) :args (@t60)) % 33.94/35.00 (step @p71 :rule trans :premises (@p60 @p62)) % 33.94/35.00 (step @p72 :rule instantiate :premises (@p4) :args ((@list @t58 tptp.one))) % 33.94/35.00 (step @p73 :rule symm :premises (@p72)) % 33.94/35.00 (step @p74 :rule instantiate :premises (@p20) :args (@t57)) % 33.94/35.00 (step @p75 :rule symm :premises (@p74)) % 33.94/35.00 (step @p76 :rule refl :args (@t61)) % 33.94/35.00 (step @p77 :rule instantiate :premises (@p58) :args ((@list @t62))) % 33.94/35.00 (step @p78 :rule symm :premises (@p77)) % 33.94/35.00 (step @p79 :rule cong :premises (@p78 @p76) :args (@t64)) % 33.94/35.00 (step @p80 :rule trans :premises (@p79 @p75 @p59)) % 33.94/35.00 (step @p81 :rule trans :premises (@p80 @p71)) % 33.94/35.00 (step @p82 :rule cong :premises (@p81 @p44) :args ((tptp.addition @t64 @t44))) % 33.94/35.00 (step @p83 :rule instantiate :premises (@p5) :args ((@list @t63 @t61 @t44))) % 33.94/35.00 (step @p84 :rule instantiate :premises (@p4) :args ((@list @t62 @t61))) % 33.94/35.00 (step @p85 :rule symm :premises (@p84)) % 33.94/35.00 (step @p86 :rule trans :premises (@p85 @p75)) % 33.94/35.00 (step @p87 :rule cong :premises (@p76 @p86) :args ((tptp.addition @t61 @t65))) % 33.94/35.00 (step @p88 :rule instantiate :premises (@p5) :args ((@list @t61 @t61 @t62))) % 33.94/35.00 (step @p89 :rule symm :premises (@p88)) % 33.94/35.00 (step @p90 :rule refl :args (@t62)) % 33.94/35.00 (step @p91 :rule eq-symm :args (@t27 tptp.zero)) % 33.94/35.00 (step @p92 :rule cong :premises (@p91) :args (@t28)) % 33.94/35.00 (step @p93 :rule eq_resolve :premises (@p13 @p92)) % 33.94/35.00 (step @p94 :rule instantiate :premises (@p93) :args (@t66)) % 33.94/35.00 (step @p95 :rule symm :premises (@p94)) % 33.94/35.00 (step @p96 :rule cong :premises (@p44 @p95) :args (@t68)) % 33.94/35.00 (step @p97 :rule eq-symm :args (@t68 @t69)) % 33.94/35.00 (step @p98 :rule refl :args (@t21)) % 33.94/35.00 (step @p99 :rule cong :premises (@p98 @p97) :args ((=> @t21 @t70))) % 33.94/35.00 (assume-push @p490 @t21) % 33.94/35.00 (step @p101 :rule instantiate :premises (@p8) :args ((@list @t44 tptp.zero tptp.zero))) % 33.94/35.00 (step-pop @p491 :rule scope :premises (@p101)) % 33.94/35.00 (step @p102 :rule process_scope :premises (@p491) :args (@t70)) % 33.94/35.00 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 33.94/35.00 (step @p105 :rule implies_elim :premises (@p104)) % 33.94/35.00 (step @p106 :rule chain_m_resolution :premises (@p105 @p8) :args ((= @t69 @t68) @t71 @t72)) % 33.94/35.00 (step @p107 :rule trans :premises (@p106 @p96)) % 33.94/35.00 (step @p108 :rule instantiate :premises (@p93) :args (@t73)) % 33.94/35.00 (step @p109 :rule cong :premises (@p44 @p108) :args (@t61)) % 33.94/35.00 (step @p110 :rule symm :premises (@p109)) % 33.94/35.00 (step @p111 :rule eq-symm :args (@t74 @t75)) % 33.94/35.00 (step @p112 :rule cong :premises (@p98 @p111) :args ((=> @t21 @t76))) % 33.94/35.00 (assume-push @p492 @t21) % 33.94/35.00 (step @p114 :rule instantiate :premises (@p8) :args (@t77)) % 33.94/35.00 (step-pop @p493 :rule scope :premises (@p114)) % 33.94/35.00 (step @p115 :rule process_scope :premises (@p493) :args (@t76)) % 33.94/35.00 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 33.94/35.00 (step @p118 :rule implies_elim :premises (@p117)) % 33.94/35.00 (step @p119 :rule chain_m_resolution :premises (@p118 @p8) :args ((= @t75 @t74) @t71 @t72)) % 33.94/35.00 (step @p120 :rule trans :premises (@p39 @p41)) % 33.94/35.00 (step @p121 :rule symm :premises (@p120)) % 33.94/35.00 (step @p122 :rule cong :premises (@p76 @p121) :args ((tptp.multiplication @t61 @t78))) % 33.94/35.00 (step @p123 :rule instantiate :premises (@p11) :args ((@list @t61 @t53 tptp.one))) % 33.94/35.00 (step @p124 :rule symm :premises (@p123)) % 33.94/35.00 (step @p125 :rule instantiate :premises (@p58) :args ((@list @t61))) % 33.94/35.00 (step @p126 :rule trans :premises (@p106 @p96 @p125)) % 33.94/35.00 (step @p127 :rule eq-symm :args (@t30 @t29)) % 33.94/35.00 (step @p128 :rule cong :premises (@p127) :args (@t31)) % 33.94/35.00 (step @p129 :rule eq_resolve :premises (@p14 @p128)) % 33.94/35.00 (step @p130 :rule instantiate :premises (@p129) :args (@t52)) % 33.94/35.00 (step @p131 :rule symm :premises (@p130)) % 33.94/35.00 (step @p132 :rule cong :premises (@p131 @p44) :args ((tptp.multiplication @t79 @t44))) % 33.94/35.00 (step @p133 :rule instantiate :premises (@p12) :args ((@list tptp.one @t46 @t44))) % 33.94/35.00 (step @p134 :rule symm :premises (@p133)) % 33.94/35.00 (step @p135 :rule instantiate :premises (@p8) :args ((@list @t44 @t45 @t44))) % 33.94/35.00 (step @p136 :rule trans :premises (@p85 @p75 @p59)) % 33.94/35.00 (step @p137 :rule trans :premises (@p136 @p61)) % 33.94/35.00 (step @p138 :rule cong :premises (@p137 @p135) :args ((tptp.addition @t65 @t80))) % 33.94/35.00 (step @p139 :rule refl :args (@t80)) % 33.94/35.00 (step @p140 :rule symm :premises (@p136)) % 33.94/35.00 (step @p141 :rule cong :premises (@p140 @p139) :args ((tptp.addition @t81 @t80))) % 33.94/35.00 (step @p142 :rule instantiate :premises (@p11) :args ((@list @t44 tptp.one @t53))) % 33.94/35.00 (step @p143 :rule cong :premises (@p44 @p39) :args (@t46)) % 33.94/35.00 (step @p144 :rule trans :premises (@p143 @p142 @p141 @p138 @p134 @p132)) % 33.94/35.00 (step @p145 :rule cong :premises (@p76 @p144) :args (@t82)) % 33.94/35.00 (step @p146 :rule cong :premises (@p145 @p126) :args (@t83)) % 33.94/35.00 (step @p147 :rule instantiate :premises (@p11) :args ((@list @t61 @t46 tptp.zero))) % 33.94/35.00 (step @p148 :rule eq-symm :args (@t14 @t3)) % 33.94/35.00 (step @p149 :rule cong :premises (@p148) :args (@t16)) % 33.94/35.00 (step @p150 :rule eq_resolve :premises (@p6 @p149)) % 33.94/35.00 (step @p151 :rule instantiate :premises (@p150) :args ((@list @t46))) % 33.94/35.00 (step @p152 :rule symm :premises (@p143)) % 33.94/35.00 (step @p153 :rule symm :premises (@p142)) % 33.94/35.00 (step @p154 :rule symm :premises (@p141)) % 33.94/35.00 (step @p155 :rule symm :premises (@p138)) % 33.94/35.00 (step @p156 :rule symm :premises (@p132)) % 33.94/35.00 (step @p157 :rule trans :premises (@p156 @p133 @p155 @p154 @p153 @p152 @p151)) % 33.94/35.00 (step @p158 :rule cong :premises (@p76 @p157) :args (@t84)) % 33.94/35.00 (step @p159 :rule trans :premises (@p145 @p158 @p147 @p146 @p124 @p122 @p119 @p110)) % 33.94/35.00 (step @p160 :rule cong :premises (@p159 @p107) :args (@t83)) % 33.94/35.00 (step @p161 :rule symm :premises (@p146)) % 33.94/35.00 (step @p162 :rule symm :premises (@p122)) % 33.94/35.00 (step @p114 :rule instantiate :premises (@p8) :args (@t77)) % 33.94/35.00 (step @p163 :rule trans :premises (@p109 @p114 @p162 @p123 @p161 @p160)) % 33.94/35.00 (step @p164 :rule cong :premises (@p163 @p90) :args (@t65)) % 33.94/35.00 (step @p165 :rule trans :premises (@p74 @p84 @p164 @p89 @p87)) % 33.94/35.00 (step @p166 :rule refl :args (@t63)) % 33.94/35.00 (step @p167 :rule cong :premises (@p166 @p165) :args (@t85)) % 33.94/35.00 (step @p168 :rule trans :premises (@p167 @p83 @p82 @p70 @p68 @p63)) % 33.94/35.00 (step @p169 :rule refl :args (tptp.sK1_goals_X0)) % 33.94/35.00 (step @p170 :rule cong :premises (@p169 @p168) :args ((tptp.multiplication tptp.sK1_goals_X0 @t85))) % 33.94/35.00 (step @p171 :rule instantiate :premises (@p11) :args ((@list tptp.sK1_goals_X0 @t63 @t44))) % 33.94/35.00 (step @p172 :rule symm :premises (@p171)) % 33.94/35.00 (step @p173 :rule trans :premises (@p172 @p170)) % 33.94/35.00 (step @p174 :rule cong :premises (@p43 @p173) :args ((tptp.addition tptp.one (tptp.addition @t86 @t58)))) % 33.94/35.00 (step @p175 :rule instantiate :premises (@p5) :args ((@list tptp.one @t86 @t58))) % 33.94/35.00 (step @p176 :rule symm :premises (@p175)) % 33.94/35.00 (step @p177 :rule cong :premises (@p169 @p75) :args ((tptp.multiplication tptp.sK1_goals_X0 @t87))) % 33.94/35.00 (step @p178 :rule instantiate :premises (@p11) :args ((@list tptp.sK1_goals_X0 @t62 @t61))) % 33.94/35.00 (step @p179 :rule symm :premises (@p178)) % 33.94/35.00 (step @p180 :rule trans :premises (@p179 @p177)) % 33.94/35.00 (step @p181 :rule cong :premises (@p169 @p77) :args (@t88)) % 33.94/35.00 (step @p182 :rule cong :premises (@p43 @p181) :args (@t89)) % 33.94/35.00 (step @p183 :rule instantiate :premises (@p129) :args (@t57)) % 33.94/35.00 (step @p184 :rule trans :premises (@p183 @p182)) % 33.94/35.00 (step @p185 :rule cong :premises (@p184 @p180) :args ((tptp.addition @t62 @t91))) % 33.94/35.00 (step @p186 :rule symm :premises (@p180)) % 33.94/35.00 (step @p187 :rule symm :premises (@p183)) % 33.94/35.00 (step @p188 :rule instantiate :premises (@p4) :args ((@list tptp.one @t88))) % 33.94/35.00 (step @p189 :rule symm :premises (@p188)) % 33.94/35.00 (step @p190 :rule trans :premises (@p189 @p187)) % 33.94/35.00 (step @p191 :rule cong :premises (@p190 @p186) :args ((tptp.addition @t92 @t58))) % 33.94/35.00 (step @p192 :rule instantiate :premises (@p5) :args ((@list @t88 tptp.one @t58))) % 33.94/35.00 (step @p193 :rule trans :premises (@p73 @p63)) % 33.94/35.00 (step @p194 :rule symm :premises (@p193)) % 33.94/35.00 (step @p195 :rule refl :args (@t88)) % 33.94/35.00 (step @p196 :rule cong :premises (@p195 @p194) :args ((tptp.addition @t88 @t44))) % 33.94/35.00 (step @p197 :rule cong :premises (@p43 @p180) :args ((tptp.addition tptp.one @t91))) % 33.94/35.00 (step @p198 :rule instantiate :premises (@p5) :args ((@list tptp.one @t88 @t90))) % 33.94/35.00 (step @p199 :rule symm :premises (@p198)) % 33.94/35.00 (step @p200 :rule instantiate :premises (@p4) :args ((@list @t89 @t90))) % 33.94/35.00 (step @p201 :rule symm :premises (@p200)) % 33.94/35.00 (step @p202 :rule trans :premises (@p201 @p199 @p197 @p73 @p63)) % 33.94/35.00 (step @p203 :rule cong :premises (@p195 @p202) :args ((tptp.addition @t88 (tptp.addition @t90 @t89)))) % 33.94/35.00 (step @p204 :rule instantiate :premises (@p5) :args ((@list @t88 @t90 @t89))) % 33.94/35.00 (step @p205 :rule symm :premises (@p204)) % 33.94/35.00 (step @p206 :rule trans :premises (@p78 @p183)) % 33.94/35.00 (step @p207 :rule cong :premises (@p186 @p206) :args (@t93)) % 33.94/35.00 (step @p208 :rule trans :premises (@p207 @p205 @p203 @p196 @p192 @p191 @p185 @p176 @p174 @p73 @p63 @p59)) % 33.94/35.00 (step @p209 :rule trans :premises (@p208 @p71)) % 33.94/35.00 (step @p210 :rule cong :premises (@p209 @p44) :args ((tptp.addition @t93 @t44))) % 33.94/35.00 (step @p211 :rule instantiate :premises (@p5) :args ((@list @t58 @t63 @t44))) % 33.94/35.00 (step @p212 :rule symm :premises (@p168)) % 33.94/35.00 (step @p213 :rule refl :args (@t58)) % 33.94/35.00 (step @p214 :rule cong :premises (@p213 @p212) :args (@t94)) % 33.94/35.00 (step @p215 :rule symm :premises (@p55)) % 33.94/35.00 (step @p216 :rule cong :premises (@p213 @p215) :args (@t95)) % 33.94/35.00 (step @p217 :rule trans :premises (@p216 @p214 @p211 @p210 @p70 @p68 @p63 @p59)) % 33.94/35.00 (step @p218 :rule trans :premises (@p217 @p61)) % 33.94/35.00 (step @p219 :rule cong :premises (@p218 @p51) :args ((tptp.addition @t95 @t56))) % 33.94/35.00 (step @p220 :rule instantiate :premises (@p5) :args ((@list @t58 @t55 @t56))) % 33.94/35.00 (step @p221 :rule symm :premises (@p50)) % 33.94/35.00 (step @p222 :rule symm :premises (@p49)) % 33.94/35.00 (step @p223 :rule trans :premises (@p39 @p41 @p222 @p221)) % 33.94/35.00 (step @p224 :rule cong :premises (@p213 @p223) :args ((tptp.addition @t58 @t45))) % 33.94/35.00 (step @p225 :rule instantiate :premises (@p4) :args ((@list @t58 @t45))) % 33.94/35.00 (step @p226 :rule symm :premises (@p225)) % 33.94/35.00 (step @p227 :rule instantiate :premises (@p4) :args ((@list tptp.one @t46))) % 33.94/35.00 (step @p228 :rule symm :premises (@p227)) % 33.94/35.00 (step @p229 :rule trans :premises (@p228 @p131)) % 33.94/35.00 (step @p230 :rule cong :premises (@p229 @p213) :args ((tptp.addition (tptp.addition @t46 tptp.one) @t58))) % 33.94/35.00 (step @p231 :rule instantiate :premises (@p5) :args ((@list @t46 tptp.one @t58))) % 33.94/35.00 (step @p232 :rule refl :args (@t46)) % 33.94/35.00 (step @p233 :rule cong :premises (@p232 @p194) :args (@t47)) % 33.94/35.00 (step @p234 :rule trans :premises (@p233 @p231 @p230 @p226 @p224 @p220 @p219 @p50 @p49 @p42 @p40)) % 33.94/35.00 (step @p235 :rule eq-symm :args (@t40 @t1)) % 33.94/35.00 (step @p236 :rule cong :premises (@p235) :args (@t41)) % 33.94/35.00 (step @p237 :rule eq_resolve :premises (@p21 @p236)) % 33.94/35.00 (step @p238 :rule instantiate :premises (@p237) :args ((@list @t53 @t44))) % 33.94/35.00 (step @p239 :rule symm :premises (@p238)) % 33.94/35.00 (step @p240 :rule refl :args (@t53)) % 33.94/35.00 (step @p241 :rule cong :premises (@p240 @p193) :args ((tptp.addition @t53 @t96))) % 33.94/35.00 (step @p242 :rule instantiate :premises (@p5) :args ((@list @t53 tptp.one @t58))) % 33.94/35.00 (step @p243 :rule symm :premises (@p242)) % 33.94/35.00 (step @p244 :rule cong :premises (@p120 @p213) :args ((tptp.addition @t45 @t58))) % 33.94/35.00 (step @p245 :rule trans :premises (@p233 @p231 @p230 @p244 @p243 @p241)) % 33.94/35.00 (step @p246 :rule eq-symm :args (@t35 tptp.true)) % 33.94/35.00 (step @p247 :rule cong :premises (@p246) :args (@t36)) % 33.94/35.00 (step @p248 :rule eq_resolve :premises (@p16 @p247)) % 33.94/35.00 (step @p249 :rule instantiate :premises (@p248) :args ((@list @t44 @t44 tptp.one))) % 33.94/35.00 (step @p250 :rule symm :premises (@p249)) % 33.94/35.00 (step @p251 :rule refl :args (tptp.true)) % 33.94/35.00 (step @p252 :rule instantiate :premises (@p58) :args (@t73)) % 33.94/35.00 (step @p253 :rule symm :premises (@p252)) % 33.94/35.00 (step @p254 :rule trans :premises (@p253 @p120)) % 33.94/35.00 (step @p255 :rule cong :premises (@p254 @p44) :args (@t97)) % 33.94/35.00 (step @p256 :rule symm :premises (@p255)) % 33.94/35.00 (step @p257 :rule instantiate :premises (@p54) :args (@t73)) % 33.94/35.00 (step @p258 :rule symm :premises (@p257)) % 33.94/35.00 (step @p259 :rule trans :premises (@p258 @p120)) % 33.94/35.00 (step @p260 :rule cong :premises (@p259 @p44) :args (@t98)) % 33.94/35.00 (step @p261 :rule trans :premises (@p260 @p256)) % 33.94/35.00 (step @p262 :rule symm :premises (@p261)) % 33.94/35.00 (step @p263 :rule refl :args (@t100)) % 33.94/35.00 (step @p264 :rule cong :premises (@p263 @p251 @p262 @p251) :args ((tptp.ifeq @t100 tptp.true @t97 tptp.true))) % 33.94/35.00 (step @p265 :rule symm :premises (@p264)) % 33.94/35.00 (step @p266 :rule cong :premises (@p44 @p215) :args ((tptp.multiplication @t44 @t55))) % 33.94/35.00 (step @p267 :rule symm :premises (@p266)) % 33.94/35.00 (step @p268 :rule instantiate :premises (@p38) :args (@t57)) % 33.94/35.00 (step @p269 :rule symm :premises (@p268)) % 33.94/35.00 (step @p270 :rule cong :premises (@p269 @p76) :args ((tptp.addition (tptp.addition tptp.one @t101) @t61))) % 33.94/35.00 (step @p271 :rule instantiate :premises (@p5) :args ((@list tptp.one @t101 @t61))) % 33.94/35.00 (step @p272 :rule trans :premises (@p271 @p270 @p75 @p59)) % 33.94/35.00 (step @p273 :rule trans :premises (@p272 @p71)) % 33.94/35.00 (step @p274 :rule cong :premises (@p273 @p44) :args ((tptp.addition (tptp.addition tptp.one @t102) @t44))) % 33.94/35.00 (step @p275 :rule instantiate :premises (@p5) :args ((@list tptp.one @t102 @t44))) % 33.94/35.00 (step @p276 :rule refl :args (@t102)) % 33.94/35.00 (step @p277 :rule cong :premises (@p276 @p193) :args ((tptp.addition @t102 @t96))) % 33.94/35.00 (step @p278 :rule instantiate :premises (@p5) :args ((@list @t102 tptp.one @t58))) % 33.94/35.00 (step @p279 :rule symm :premises (@p278)) % 33.94/35.00 (step @p280 :rule instantiate :premises (@p4) :args ((@list tptp.one @t102))) % 33.94/35.00 (step @p281 :rule symm :premises (@p271)) % 33.94/35.00 (step @p282 :rule symm :premises (@p270)) % 33.94/35.00 (step @p283 :rule trans :premises (@p60 @p74 @p282 @p281 @p280)) % 33.94/35.00 (step @p284 :rule trans :premises (@p59 @p283)) % 33.94/35.00 (step @p285 :rule cong :premises (@p284 @p213) :args ((tptp.addition @t44 @t58))) % 33.94/35.00 (step @p286 :rule instantiate :premises (@p4) :args ((@list @t58 @t44))) % 33.94/35.00 (step @p287 :rule symm :premises (@p214)) % 33.94/35.00 (step @p288 :rule symm :premises (@p211)) % 33.94/35.00 (step @p289 :rule symm :premises (@p210)) % 33.94/35.00 (step @p290 :rule symm :premises (@p70)) % 33.94/35.00 (step @p291 :rule trans :premises (@p215 @p62 @p67 @p290 @p289 @p288 @p287 @p286 @p285 @p279 @p277)) % 33.94/35.00 (step @p292 :rule cong :premises (@p43 @p291) :args (@t103)) % 33.94/35.00 (step @p293 :rule trans :premises (@p292 @p275 @p274 @p70 @p68 @p63)) % 33.94/35.00 (step @p294 :rule cong :premises (@p293 @p44) :args ((tptp.multiplication @t103 @t44))) % 33.94/35.00 (step @p295 :rule instantiate :premises (@p12) :args ((@list tptp.one @t55 @t44))) % 33.94/35.00 (step @p296 :rule symm :premises (@p295)) % 33.94/35.00 (step @p297 :rule cong :premises (@p55 @p44) :args (@t99)) % 33.94/35.00 (step @p298 :rule cong :premises (@p61 @p297) :args ((tptp.addition @t81 @t99))) % 33.94/35.00 (step @p299 :rule refl :args (@t99)) % 33.94/35.00 (step @p300 :rule cong :premises (@p59 @p299) :args ((tptp.addition @t44 @t99))) % 33.94/35.00 (step @p301 :rule instantiate :premises (@p4) :args ((@list @t99 @t44))) % 33.94/35.00 (step @p302 :rule cong :premises (@p299 @p215) :args (@t104)) % 33.94/35.00 (step @p303 :rule trans :premises (@p302 @p301 @p300 @p298 @p296 @p294 @p267)) % 33.94/35.00 (step @p304 :rule trans :premises (@p303 @p266)) % 33.94/35.00 (step @p305 :rule cong :premises (@p304 @p43) :args ((tptp.addition @t104 tptp.one))) % 33.94/35.00 (step @p306 :rule instantiate :premises (@p5) :args ((@list @t99 @t55 tptp.one))) % 33.94/35.00 (step @p307 :rule instantiate :premises (@p4) :args ((@list tptp.one @t55))) % 33.94/35.00 (step @p308 :rule symm :premises (@p292)) % 33.94/35.00 (step @p309 :rule symm :premises (@p275)) % 33.94/35.00 (step @p310 :rule symm :premises (@p274)) % 33.94/35.00 (step @p311 :rule trans :premises (@p62 @p67 @p290 @p310 @p309 @p308 @p307)) % 33.94/35.00 (step @p312 :rule cong :premises (@p299 @p311) :args ((tptp.addition @t99 @t44))) % 33.94/35.00 (step @p313 :rule symm :premises (@p301)) % 33.94/35.00 (step @p314 :rule symm :premises (@p300)) % 33.94/35.00 (step @p315 :rule symm :premises (@p298)) % 33.94/35.00 (step @p316 :rule symm :premises (@p294)) % 33.94/35.00 (step @p317 :rule trans :premises (@p316 @p295 @p315 @p314 @p313 @p312 @p306 @p305)) % 33.94/35.00 (step @p318 :rule instantiate :premises (@p150) :args ((@list @t99))) % 33.94/35.00 (step @p319 :rule symm :premises (@p318)) % 33.94/35.00 (step @p320 :rule trans :premises (@p319 @p317)) % 33.94/35.00 (step @p321 :rule cong :premises (@p320 @p44) :args ((tptp.leq (tptp.addition @t99 tptp.zero) @t44))) % 33.94/35.00 (step @p322 :rule cong :premises (@p75 @p44) :args ((tptp.multiplication @t87 @t44))) % 33.94/35.00 (step @p323 :rule instantiate :premises (@p12) :args ((@list @t62 @t61 @t44))) % 33.94/35.00 (step @p324 :rule symm :premises (@p323)) % 33.94/35.00 (step @p325 :rule instantiate :premises (@p4) :args ((@list @t55 @t54))) % 33.94/35.00 (step @p326 :rule symm :premises (@p325)) % 33.94/35.00 (step @p327 :rule trans :premises (@p215 @p62 @p67 @p290)) % 33.94/35.00 (step @p328 :rule symm :premises (@p157)) % 33.94/35.00 (step @p329 :rule cong :premises (@p328 @p44) :args ((tptp.multiplication @t105 @t44))) % 33.94/35.00 (step @p330 :rule cong :premises (@p151 @p44) :args ((tptp.multiplication @t46 @t44))) % 33.94/35.00 (step @p331 :rule trans :premises (@p135 @p330 @p329)) % 33.94/35.00 (step @p332 :rule symm :premises (@p331)) % 33.94/35.00 (step @p333 :rule cong :premises (@p332 @p327) :args ((tptp.addition @t54 @t55))) % 33.94/35.00 (step @p334 :rule symm :premises (@p333)) % 33.94/35.00 (step @p335 :rule instantiate :premises (@p5) :args ((@list @t80 @t59 @t44))) % 33.94/35.00 (step @p336 :rule symm :premises (@p335)) % 33.94/35.00 (step @p337 :rule trans :premises (@p63 @p55)) % 33.94/35.00 (step @p338 :rule cong :premises (@p331 @p337) :args (@t106)) % 33.94/35.00 (step @p339 :rule trans :premises (@p338 @p326 @p47 @p45 @p156 @p133 @p155 @p154 @p153 @p152)) % 33.94/35.00 (step @p340 :rule cong :premises (@p339 @p44) :args ((tptp.addition @t106 @t44))) % 33.94/35.00 (step @p341 :rule symm :premises (@p340)) % 33.94/35.00 (step @p342 :rule symm :premises (@p233)) % 33.94/35.00 (step @p343 :rule symm :premises (@p231)) % 33.94/35.00 (step @p344 :rule symm :premises (@p230)) % 33.94/35.00 (step @p345 :rule symm :premises (@p224)) % 33.94/35.00 (step @p346 :rule symm :premises (@p220)) % 33.94/35.00 (step @p347 :rule symm :premises (@p219)) % 33.94/35.00 (step @p348 :rule trans :premises (@p39 @p41 @p222 @p221 @p347 @p346 @p345 @p225 @p344 @p343 @p342 @p341 @p336 @p334 @p326 @p47 @p45 @p156 @p133 @p155 @p154 @p153 @p152)) % 33.94/35.00 (step @p349 :rule cong :premises (@p43 @p348) :args (@t107)) % 33.94/35.00 (step @p350 :rule trans :premises (@p349 @p131 @p39 @p41 @p222 @p221 @p347 @p346 @p345 @p225 @p344 @p343 @p342 @p341 @p336 @p334 @p326 @p47 @p45)) % 33.94/35.00 (step @p351 :rule cong :premises (@p76 @p350) :args ((tptp.multiplication @t61 @t107))) % 33.94/35.00 (step @p352 :rule instantiate :premises (@p4) :args ((@list @t45 tptp.one))) % 33.94/35.00 (step @p353 :rule cong :premises (@p76 @p352) :args (@t109)) % 33.94/35.00 (step @p354 :rule trans :premises (@p353 @p351 @p158 @p147 @p146 @p124 @p122 @p119 @p110)) % 33.94/35.00 (step @p355 :rule cong :premises (@p354 @p44) :args ((tptp.multiplication @t109 @t44))) % 33.94/35.00 (step @p356 :rule instantiate :premises (@p8) :args ((@list @t61 @t108 @t44))) % 33.94/35.00 (step @p357 :rule instantiate :premises (@p12) :args ((@list @t45 tptp.one @t44))) % 33.94/35.00 (step @p358 :rule symm :premises (@p357)) % 33.94/35.00 (step @p359 :rule cong :premises (@p240 @p215) :args ((tptp.addition @t53 @t55))) % 33.94/35.00 (step @p360 :rule symm :premises (@p359)) % 33.94/35.00 (step @p361 :rule symm :premises (@p45)) % 33.94/35.00 (step @p362 :rule trans :premises (@p361 @p46 @p325 @p333 @p335 @p340 @p233 @p231 @p230 @p244 @p243 @p241 @p360 @p358)) % 33.94/35.00 (step @p363 :rule cong :premises (@p76 @p362) :args (@t84)) % 33.94/35.00 (step @p364 :rule symm :premises (@p158)) % 33.94/35.00 (step @p365 :rule symm :premises (@p147)) % 33.94/35.00 (step @p366 :rule trans :premises (@p109 @p114 @p162 @p123 @p161 @p365 @p364 @p363 @p356 @p355)) % 33.94/35.00 (step @p367 :rule refl :args (@t110)) % 33.94/35.00 (step @p368 :rule cong :premises (@p367 @p366) :args (@t111)) % 33.94/35.00 (step @p369 :rule trans :premises (@p368 @p324 @p322 @p267)) % 33.94/35.00 (step @p370 :rule trans :premises (@p369 @p266)) % 33.94/35.00 (step @p371 :rule cong :premises (@p370 @p44) :args ((tptp.addition @t111 @t44))) % 33.94/35.00 (step @p372 :rule instantiate :premises (@p5) :args ((@list @t110 @t61 @t44))) % 33.94/35.00 (step @p373 :rule cong :premises (@p367 @p165) :args ((tptp.addition @t110 @t44))) % 33.94/35.00 (step @p374 :rule cong :premises (@p367 @p215) :args ((tptp.addition @t110 @t55))) % 33.94/35.00 (step @p375 :rule instantiate :premises (@p12) :args ((@list @t62 tptp.one @t44))) % 33.94/35.00 (step @p376 :rule cong :premises (@p190 @p43) :args ((tptp.addition @t92 tptp.one))) % 33.94/35.00 (step @p377 :rule instantiate :premises (@p5) :args ((@list @t88 tptp.one tptp.one))) % 33.94/35.00 (step @p378 :rule instantiate :premises (@p66) :args ((@list tptp.one))) % 33.94/35.00 (step @p379 :rule cong :premises (@p195 @p378) :args (@t92)) % 33.94/35.00 (step @p380 :rule trans :premises (@p183 @p188 @p379 @p377 @p376)) % 33.94/35.00 (step @p381 :rule cong :premises (@p380 @p44) :args (@t110)) % 33.94/35.00 (step @p382 :rule trans :premises (@p381 @p375 @p374 @p373 @p372 @p371 @p301 @p300 @p298 @p296 @p294)) % 33.94/35.00 (step @p383 :rule trans :premises (@p382 @p318)) % 33.94/35.00 (step @p384 :rule cong :premises (@p383 @p44) :args (@t112)) % 33.94/35.00 (step @p385 :rule eq-symm :args (@t9 @t1)) % 33.94/35.00 (step @p386 :rule cong :premises (@p385) :args (@t10)) % 33.94/35.00 (step @p387 :rule eq_resolve :premises (@p3 @p386)) % 33.94/35.00 (step @p388 :rule instantiate :premises (@p387) :args ((@list @t113 @t112 tptp.true))) % 33.94/35.00 (step @p389 :rule symm :premises (@p388)) % 33.94/35.00 (step @p390 :rule refl :args (@t112)) % 33.94/35.00 (step @p391 :rule trans :premises (@p67 @p290 @p289 @p288 @p287)) % 33.94/35.00 (step @p392 :rule cong :premises (@p391 @p44) :args (@t114)) % 33.94/35.00 (step @p393 :rule eq-symm :args (@t4 @t1)) % 33.94/35.00 (step @p394 :rule cong :premises (@p393) :args (@t6)) % 33.94/35.00 (step @p395 :rule eq_resolve :premises (@p1 @p394)) % 33.94/35.00 (step @p396 :rule instantiate :premises (@p395) :args ((@list @t60 @t114 tptp.true))) % 33.94/35.00 (step @p397 :rule symm :premises (@p396)) % 33.94/35.00 (step @p398 :rule refl :args (@t114)) % 33.94/35.00 (step @p399 :rule trans :premises (@p62 @p67 @p290)) % 33.94/35.00 (step @p400 :rule refl :args (@t60)) % 33.94/35.00 (step @p401 :rule cong :premises (@p400 @p399 @p398 @p251) :args ((tptp.ifeq3 @t60 @t44 @t114 tptp.true))) % 33.94/35.00 (step @p402 :rule eq-symm :args (@t42 tptp.true)) % 33.94/35.00 (step @p403 :rule cong :premises (@p402) :args (@t43)) % 33.94/35.00 (step @p404 :rule eq_resolve :premises (@p22 @p403)) % 33.94/35.00 (step @p405 :rule instantiate :premises (@p404) :args ((@list @t59 @t44))) % 33.94/35.00 (step @p406 :rule trans :premises (@p405 @p401 @p397 @p392)) % 33.94/35.00 (step @p407 :rule refl :args (@t113)) % 33.94/35.00 (step @p408 :rule cong :premises (@p407 @p406 @p390 @p251) :args ((tptp.ifeq @t113 tptp.true @t112 tptp.true))) % 33.94/35.00 (step @p409 :rule instantiate :premises (@p248) :args ((@list tptp.sK1_goals_X0 @t44 @t44))) % 33.94/35.00 (step @p410 :rule trans :premises (@p409 @p408 @p389 @p384 @p321)) % 33.94/35.00 (step @p411 :rule cong :premises (@p263 @p410 @p261 @p251) :args ((tptp.ifeq @t100 tptp.true @t98 tptp.true))) % 33.94/35.00 (step @p412 :rule symm :premises (@p411)) % 33.94/35.00 (step @p413 :rule instantiate :premises (@p387) :args ((@list @t100 @t97 tptp.true))) % 33.94/35.00 (step @p414 :rule refl :args (@t45)) % 33.94/35.00 (step @p415 :rule cong :premises (@p414 @p168) :args ((tptp.multiplication @t45 @t85))) % 33.94/35.00 (step @p416 :rule instantiate :premises (@p11) :args ((@list @t45 @t63 @t44))) % 33.94/35.00 (step @p417 :rule symm :premises (@p416)) % 33.94/35.00 (step @p418 :rule trans :premises (@p417 @p415 @p156 @p133 @p155 @p154 @p153 @p152)) % 33.94/35.00 (step @p419 :rule cong :premises (@p43 @p418) :args ((tptp.addition tptp.one (tptp.addition @t115 @t53)))) % 33.94/35.00 (step @p420 :rule instantiate :premises (@p5) :args ((@list tptp.one @t115 @t53))) % 33.94/35.00 (step @p421 :rule symm :premises (@p420)) % 33.94/35.00 (step @p422 :rule cong :premises (@p414 @p77) :args (@t116)) % 33.94/35.00 (step @p423 :rule instantiate :premises (@p150) :args ((@list @t88))) % 33.94/35.00 (step @p424 :rule symm :premises (@p423)) % 33.94/35.00 (step @p425 :rule cong :premises (@p43 @p424) :args ((tptp.addition tptp.one (tptp.addition @t88 tptp.zero)))) % 33.94/35.00 (step @p426 :rule instantiate :premises (@p5) :args ((@list tptp.one @t88 tptp.zero))) % 33.94/35.00 (step @p427 :rule symm :premises (@p426)) % 33.94/35.00 (step @p428 :rule refl :args (tptp.zero)) % 33.94/35.00 (step @p429 :rule cong :premises (@p183 @p428) :args (@t117)) % 33.94/35.00 (step @p430 :rule trans :premises (@p429 @p427 @p425 @p187)) % 33.94/35.00 (step @p431 :rule cong :premises (@p414 @p430) :args ((tptp.multiplication @t45 @t117))) % 33.94/35.00 (step @p432 :rule instantiate :premises (@p11) :args ((@list @t45 @t62 tptp.zero))) % 33.94/35.00 (step @p433 :rule symm :premises (@p432)) % 33.94/35.00 (step @p434 :rule cong :premises (@p121 @p428) :args ((tptp.multiplication @t78 tptp.zero))) % 33.94/35.00 (step @p435 :rule instantiate :premises (@p12) :args ((@list @t53 tptp.one tptp.zero))) % 33.94/35.00 (step @p436 :rule symm :premises (@p435)) % 33.94/35.00 (step @p437 :rule instantiate :premises (@p54) :args (@t66)) % 33.94/35.00 (step @p438 :rule trans :premises (@p95 @p437)) % 33.94/35.00 (step @p439 :rule cong :premises (@p144 @p428) :args (@t118)) % 33.94/35.00 (step @p440 :rule cong :premises (@p439 @p438) :args ((tptp.addition @t118 @t67))) % 33.94/35.00 (step @p441 :rule instantiate :premises (@p12) :args ((@list @t46 tptp.zero tptp.zero))) % 33.94/35.00 (step @p442 :rule cong :premises (@p157 @p428) :args ((tptp.multiplication @t53 tptp.zero))) % 33.94/35.00 (step @p443 :rule instantiate :premises (@p8) :args ((@list @t45 @t44 tptp.zero))) % 33.94/35.00 (step @p444 :rule trans :premises (@p443 @p442 @p441 @p440 @p436 @p434)) % 33.94/35.00 (step @p445 :rule refl :args (@t116)) % 33.94/35.00 (step @p446 :rule cong :premises (@p445 @p444) :args ((tptp.addition @t116 (tptp.multiplication @t45 @t61)))) % 33.94/35.00 (step @p447 :rule instantiate :premises (@p11) :args ((@list @t45 @t62 @t61))) % 33.94/35.00 (step @p448 :rule cong :premises (@p414 @p74) :args (@t53)) % 33.94/35.00 (step @p449 :rule trans :premises (@p143 @p142 @p141 @p138 @p134 @p132 @p448 @p447 @p446 @p433 @p431 @p422)) % 33.94/35.00 (step @p450 :rule cong :premises (@p43 @p449) :args (@t79)) % 33.94/35.00 (step @p451 :rule trans :premises (@p130 @p450)) % 33.94/35.00 (step @p452 :rule cong :premises (@p451 @p328) :args ((tptp.addition @t45 @t105))) % 33.94/35.00 (step @p453 :rule instantiate :premises (@p4) :args ((@list @t45 @t105))) % 33.94/35.00 (step @p454 :rule symm :premises (@p453)) % 33.94/35.00 (step @p455 :rule cong :premises (@p151 @p414) :args ((tptp.addition @t46 @t45))) % 33.94/35.00 (step @p456 :rule symm :premises (@p244)) % 33.94/35.00 (step @p457 :rule symm :premises (@p241)) % 33.94/35.00 (step @p458 :rule trans :premises (@p357 @p359 @p457 @p242 @p456 @p344 @p343 @p342 @p341 @p336 @p334 @p326 @p47 @p45 @p156 @p133 @p155 @p154 @p153 @p152)) % 33.94/35.00 (step @p459 :rule cong :premises (@p458 @p414) :args (@t119)) % 33.94/35.00 (step @p460 :rule trans :premises (@p459 @p455 @p454 @p452 @p421 @p419 @p131)) % 33.94/35.00 (step @p461 :rule symm :premises (@p460)) % 33.94/35.00 (step @p462 :rule trans :premises (@p121 @p461)) % 33.94/35.00 (step @p463 :rule cong :premises (@p462 @p44) :args ((tptp.leq @t78 @t44))) % 33.94/35.00 (step @p464 :rule symm :premises (@p463)) % 33.94/35.00 (step @p465 :rule symm :premises (@p137)) % 33.94/35.00 (step @p466 :rule cong :premises (@p465 @p139) :args (@t120)) % 33.94/35.00 (step @p467 :rule trans :premises (@p466 @p154 @p153 @p152)) % 33.94/35.00 (step @p468 :rule symm :premises (@p467)) % 33.94/35.00 (step @p469 :rule trans :premises (@p460 @p348 @p468)) % 33.94/35.00 (step @p470 :rule cong :premises (@p469 @p44) :args ((tptp.leq @t119 @t44))) % 33.94/35.00 (step @p471 :rule symm :premises (@p470)) % 33.94/35.00 (step @p472 :rule cong :premises (@p468 @p44) :args (@t48)) % 33.94/35.00 (step @p473 :rule trans :premises (@p472 @p471 @p464 @p256 @p413 @p412 @p265 @p250)) % 33.94/35.00 (step @p474 :rule trans :premises (@p143 @p142 @p141 @p138 @p134 @p132 @p361 @p46)) % 33.94/35.00 (step @p475 :rule trans :premises (@p467 @p474 @p48)) % 33.94/35.00 (step @p476 :rule cong :premises (@p475 @p44) :args ((tptp.leq @t120 @t44))) % 33.94/35.00 (step @p477 :rule trans :premises (@p472 @p476)) % 33.94/35.00 (step @p478 :rule cong :premises (@p477 @p473 @p245 @p44) :args (@t49)) % 33.94/35.00 (step @p479 :rule trans :premises (@p478 @p239)) % 33.94/35.00 (step @p480 :rule cong :premises (@p479 @p234) :args (@t51)) % 33.94/35.00 (step @p481 :rule trans :premises (@p480 @p35)) % 33.94/35.00 (step @p482 :rule eq_resolve :premises (@p481 @p33)) % 33.94/35.00 (step @p483 :rule false_elim :premises (@p482)) % 33.94/35.00 (assume-push @p494 @t121) % 33.94/35.00 (step @p485 :rule instantiate :premises (@p26) :args ((@list @t48 @t47 @t44))) % 33.94/35.00 (step-pop @p495 :rule scope :premises (@p485)) % 33.94/35.00 (step @p486 :rule process_scope :premises (@p495) :args (@t50)) % 33.94/35.00 (step @p488 :rule implies_elim :premises (@p486)) % 33.94/35.00 (step @p489 false :rule chain_m_resolution :premises (@p488 @p483 @p26) :args (false (@list true false) (@list @t50 @t121))) % 33.94/35.00 ) % 33.94/35.00 % SZS output end Proof % 33.94/35.01 % cvc5 exiting %------------------------------------------------------------------------------